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Finding the Fourth Proportional to 99,398.96, 148,984.46 and 49,367.24

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Solution

The fourth proportional to 99,398.96, 148,984.46 and 49,367.24 is: 73,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,398.96 : 148,984.46 = 49,367.24 : x
  2. Step 2: Convert to fraction form
    99,398.96/148,984.46 = 49,367.24/x
  3. Step 3: Cross multiply
    99,398.96x = 148,984.46 × 49,367.24
  4. Step 4: Simplify right side
    99,398.96x = 7,354,950,601.33
  5. Step 5: Solve for x
    x = 7,354,950,601.33/99,398.96
  6. Step 6: Final answer
    x = 73,994.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.